I have a red, pus-filled bump on my chin. Would I be a good candidate for acne treatment? ㅠㅠ

I haven't been getting enough sleep lately, and perhaps due to accumulated fatigue, I’ve developed a breakout of red, painful, pustular acne around my jaw and lower face. It hurts even if I just brush against it while washing my face, and the burning sensation is so intense that I absolutely can't go out without makeup. I’m worried that if I try to squeeze them with my hands, I’ll 100% end up with pitted scars or dark discoloration, so I’m looking into seeking help from a dermatologist. I want to get regular full-course acne treatment that includes sebum extraction, scaling, and anti-inflammatory injections. However, would someone like me—with chronically sensitive skin that suddenly broke out with adult breakouts—be a suitable candidate for this to see significant results? I’m curious how many sessions it usually takes for my skin to clear up. Please leave some advice if you have experience receiving treatment at a dermatology clinic.